A spring balance has a scale that reads from 0 to 50 kg.The length of...

Patricia Bean

Patricia Bean

Answered

2022-07-17

A spring balance has a scale that reads from 0 to 50 kg.The length of the scale is 20 cm.A block of mass m is suspended from this balance,when displaced and released,it oscillates with a period 0.5 s. What is the value of m?[ g = 10 m s 2 ]

Answer & Explanation

Monica Dennis

Monica Dennis

Expert

2022-07-18Added 13 answers

I am guessing that the wording of the question means that the spring stretches from 0 to 20 cm as the weight increases from 0N to 500 N. This means that the spring constant is
k = 500 N 0.2 m = 2500 N m 1
The time period of oscillations of a mass m attached to a spring with spring constant k is given by
T = 2 π m k
Thus
m = k ( T 2 π ) 2 2500 N m 1 ( 0.5 s 2 × 3.14 ) 2 = 15.8 K g

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